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Simplifying 15 + 2r = 3(2r + 1) Reorder the terms: 15 + 2r = 3(1 + 2r) 15 + 2r = (1 * 3 + 2r * 3) 15 + 2r = (3 + 6r) Solving 15 + 2r = 3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 15 + 2r + -6r = 3 + 6r + -6r Combine like terms: 2r + -6r = -4r 15 + -4r = 3 + 6r + -6r Combine like terms: 6r + -6r = 0 15 + -4r = 3 + 0 15 + -4r = 3 Add '-15' to each side of the equation. 15 + -15 + -4r = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4r = 3 + -15 -4r = 3 + -15 Combine like terms: 3 + -15 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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